Partial Differential Equations for Finance
by Robert V. Kohn
Publisher: New York University 2003
Number of pages: 121
An introduction to those aspects of partial differential equations and optimal control most relevant to finance. PDE’s naturally associated to diffusion processes: the forward and backward Kolmogorov equations and their applications. Linear parabolic equations: fundamental solution, boundary value problems, maximum principle, transform methods. Dynamic programming and optimal control: Hamilton-Jacobi-Bellman equation, verification arguments, optimal stopping. Applications to finance will be distributed throughout the course.
Home page url
Download or read it online for free here:
(multiple PDF/PS files)
by P. Frantz, R. Payne, J. Favilukis - The London School of Economics and Political Science
This is an extract from a subject guide for an undergraduate course in Economics, Management, Finance and the Social Sciences. It aims to give a general background to further academic or practical work in finance or accounting after graduation.
by AP Faure - Bookboon
Forwards, futures, swaps, options, hybrids and a category 'other' (credit derivatives, weather derivatives, etc.) make up the derivative markets. The word is drawn from 'derive' and means that the derivative instrument cannot exist on its own.
by Alexander Vervuurt - arXiv
Stochastic Portfolio Theory is a framework in which the normative assumptions from classical financial mathematics are not made, but in which one takes a descriptive approach to studying properties of markets that follow from empirical observations.
by Farida Kachapova - Bookboon
This book explains portfolio modelling in financial mathematics as a consistent mathematical theory with all steps justified. Topics include mean-variance portfolio analysis and capital market theory. The book contains many examples with solutions.